How do you get (9) from 8? Truth table gives F T F F which is something different.

Aug 21st 2011, 01:53 AM

Also sprach Zarathustra

Re: Need help in solving this question

Quote:

Originally Posted by terrorsquid

How do you get (9) from 8? Truth table gives F T F F which is something different.

$\displaystyle \frac{\alpha \land \beta}{\alpha } $

and,

$\displaystyle \frac{\alpha \land \beta}{\beta }$

Edit:

Proof:

$\displaystyle \alpha \land \beta$ true only when $\displaystyle \alpha$ and $\displaystyle \beta $ are both true. Therefor, if $\displaystyle \alpha \land \beta$ true at particular reference, so are $\displaystyle \alpha$ and $\displaystyle \beta$ are true in that particular reference.

Is there somewhere I can read more about that? is it a law of logic? I don't understand.

Aug 21st 2011, 02:42 AM

terrorsquid

Re: Need help in solving this question

Quote:

Originally Posted by Also sprach Zarathustra

Proof:

$\displaystyle \alpha \land \beta$ true only when $\displaystyle \alpha$ and $\displaystyle \beta $ are both true. Therefor, if $\displaystyle \alpha \land \beta$ true at particular reference, so are $\displaystyle \alpha$ and $\displaystyle \beta$ are true in that particular reference.